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ladessa [460]
4 years ago
5

For what ordered pair (a,b) are there infinite solutions (x,y) to the system ; 3ax + 3y=5b, 2x+y=5

Mathematics
2 answers:
Semmy [17]4 years ago
6 0

Answer:

The ordered pair is (2,3)

Step-by-step explanation:

we know that

If a system of equations has infinite solutions, then the equations are the same

we have

3ax+3y=5b -----> equation A

2x+y=5 ----> equation B

Multiply equation B by 3 both sides

3*(2x+y)=5*3

6x+3y=15 -----> equation C

Compare equation A and equation C

so

3ax=6x------> 3a=6 -----> a=2

5b=15 ------> b=3

The ordered pair is (2,3)

Oksana_A [137]4 years ago
3 0

Answer:

(2,3)

Step-by-step explanation:

For there to be infinite solutions, the first equation needs to be consistent with the second and yet add no new information, which means it must be a multiple of the second. Since the coefficient of y in the first equation is three times that of y in the second equation, the multiplier is 3. This implies that the first equation must be 3(2x+y)=3(5). After equating coefficients, this gives 3a=3×2 and $5b=3×5, or (a,b)=(2,3).

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Answer:

Z-score is 1.75

Step-by-step explanation:

1 - 0.9599 = 0.0401

You can find the Z-score from the standard normal table. Just read the table in reverse.

In this case, Z = 1.75

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4 years ago
Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be u
Dmitry_Shevchenko [17]

We are given :

The cost of one adult ticket = a.

The cost of one child ticket = c.

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6 adult tickets and 2 child tickets.

Total amount = $66.

Therefore, first equation for Roy total amount would be

<em>6a +2c = 66          --------------------(1)</em>

<u>Elisa buys</u>

5 adult tickets and 4 child tickets.

Total amount = $62.

Therefore, second equation for Elisa total amount would be

<em>5a +4c = 62          --------------------(1).</em>

Therefore,

<h3>Roy <u>6</u>a + <u>2</u>c = <u>66</u></h3><h3>Elisa <u>5</u>a + <u>4</u>c = <u>62.</u></h3>

4 0
3 years ago
Solve for x with a degree of 30 &amp; side of 300ft
tankabanditka [31]

Answer:

x = 100√3


Step-by-step explanation:

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x = 300/√3

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3 0
4 years ago
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musickatia [10]

Answer:

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Step-by-step explanation:

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3 years ago
It's kinda hard to see but which one goes with which on the bottom. Please comment I need help.
natita [175]
2. 3/4(-4 + 4x) = -3 + 3x   3/4 times 4 is 3, so if you distribute 3/4 (-4 + 4x), you will get -3 + 3x. 

3. -0.113(-4x - 4) = 0.452x + 0.452   0.113 times 4 is 0.452, but you need to make sure to have the correct signs. Since the product is positive and -0.113 is negative, you would have to multiply it by a negative to get the product.

If you're having trouble with multiplying by fractions, just use repeated addition in your head. For example, for the first problem, instead of trying to tackle 3/4 times 4, think 3/4 + 3/4 + 3/4 + 3/4.

3/4 + 3/4 = 6/4
6/4 + 3/4 = 9/4
9/4 + 3/4 = 12/4
12/4 = 3

For the second problem, when multiplying by a decimal, just do what you'd normally do for multiplication. When you get to the end, count how many digits you had behind the decimal before, and put the decimal in the corresponding space for the answer.

0.113
x    4
0452

There are 3 digits behind the 0 in 0.113, so there should be 3 digits behind the decimal in the answer. So, the answer should be 0.452.

Hope this helps!
5 0
3 years ago
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